104883409612800 has 4212 divisors, whose sum is σ = 491695376903640. Its totient is φ = 22085770936320.

The previous prime is 104883409612783. The next prime is 104883409612823. The reversal of 104883409612800 is 8216904388401.

It is a happy number.

104883409612800 is a `hidden beast` number, since 1 + 0 + 488 + 34 + 0 + 9 + 6 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4212).

It is a super-2 number, since 2×104883409612800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 206057778946 + ... + 206057779454.

Almost surely, 2^{104883409612800} is an apocalyptic number.

104883409612800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104883409612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245847688451820).

104883409612800 is an abundant number, since it is smaller than the sum of its proper divisors (386811967290840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104883409612800 is an equidigital number, since it uses as much as digits as its factorization.

104883409612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 104883409612800 in words is "one hundred four trillion, eight hundred eighty-three billion, four hundred nine million, six hundred twelve thousand, eight hundred".